4211340000 has 480 divisors, whose sum is σ = 16273990656. Its totient is φ = 933120000.

The previous prime is 4211339989. The next prime is 4211340053. The reversal of 4211340000 is 431124.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15539865 + ... + 15540135.

Almost surely, 2^4211340000 is an apocalyptic number.

4211340000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136995328).

4211340000 is an abundant number, since it is smaller than the sum of its proper divisors (12062650656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4211340000 is a wasteful number, since it uses less digits than its factorization.

4211340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4211340000 is about 64894.8380073485. The cubic root of 4211340000 is about 1614.8794268856.

Adding to 4211340000 its reverse (431124), we get a palindrome (4211771124).

The spelling of 4211340000 in words is "four billion, two hundred eleven million, three hundred forty thousand".